The momentum and thermal boundary layer flow problem for shear thinning fluid with modified viscosity model over moving wedge is discussed. The mathematical model of the problem is developed by using improved Carreau model relates viscosity to shear rate and using the thermal conductivity model in the similar form of viscosity expression. The improved Carreau model contains five-parameters: zero viscosity, high shear rate viscosity, flow behavior index, consistency index and viscosity curvature which cover almost all aspects of the fluid's rheology. On the governing equations of the problem, boundary layer approximations are used and then reduced into ordinary differential equations by using similarity transformations. The results in form of velocity and temperature profiles, thickness of boundary layers regions, deflation in volume and momentum flow rates under the influence of all the parameters are calculated and displayed in graphs and tables for discussion. The effects of zero viscosity on different profiles are dominant as compared to high shear rate viscosity. The velocity is decreased but temperature profile is increased by the parameters that are involved to increase to viscosity.

讨论了具有修正黏度模型的剪切稀疏流体在动楔上的动量和热边界层流动问题。该问题的数学模型是通过使用改进的Carreau模型将粘度与剪切速率相关联，并以相似的粘度表达式形式使用导热系数模型来开发的。改进的Carreau模型包含五个参数：零粘度，高剪切速率粘度，流动行为指数，稠度指数和粘度曲率，这些参数几乎涵盖了流体流变学的所有方面。在问题的控制方程上，使用边界层近似，然后通过使用相似变换将其简化为常微分方程。结果以速度和温度分布图，边界层区域的厚度，计算所有参数影响下的体积和动量流量的通缩，并显示在图表中以供讨论。与高剪切速率粘度相比，零粘度对不同轮廓的影响占主导地位。速度降低了，但温度曲线却因增加粘度而增加了参数。